Fourier regularization method for solving the surface heat flux from interior observations*

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Abstract

In the present paper, a Fourier regularization method for solving the surface heat flux distribution from interior observations with some estimates are given. A numerical example is also provided.

Keywords

Inverse heat conduction problem
Ill-posed problem
Sideways heat equation
Fourier regularization
Error estimate

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*

The subject is supported by the National Natural Science Foundation of China (No. 10271050). The authors thank the work of Dr. W.-Y. Liao (Virginia Tech. University) and graduate student M. Li (Lanzhou University) for numerical computation of Hp-norm of function f(t). The authors also wish to thank the referee for their valuable criticisms and suggestions, leading to the present improved version of our paper.

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